Enhancement to Find by Filename filter - support for comma-separated values (issue 1594)

2012-10-16 21:49:34 -04:00
commit a82fb5aea9
1448 changed files with 310836 additions and 0 deletions
--- a/rtengine/cubic.cc
+++ b/rtengine/cubic.cc
@@ -0,0 +1,70 @@
+/* Copyright (C) 1997-2001 Ken Turkowski. <turk_at_computer.org>
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining
+ * a copy of this software and associated documentation files (the
+ * "Software"), to deal in the Software without restriction, including
+ * without limitation the rights to use, copy, modify, merge, publish,
+ * distribute, sublicense, and/or sell copies of the Software, and to
+ * permit persons to whom the Software is furnished to do so, subject to
+ * the following conditions:
+ * 
+ * The above copyright notice and this permission notice shall be included
+ * in all copies or substantial portions of the Software.
+ * 
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+ * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+ * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
+ * IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
+ * CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
+ * TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
+ * SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
+ */
+
+#include <cmath>
+
+
+#define FLOAT float
+#define double_t double
+
+/*******************************************************************************
+ * FindCubicRoots
+ *
+ *	Solve:
+ *		coeff[3] * x^3 + coeff[2] * x^2 + coeff[1] * x + coeff[0] = 0
+ *
+ *	returns:
+ *		3 - 3 real roots
+ *		1 - 1 real root (2 complex conjugate)
+ *******************************************************************************/
+
+long
+FindCubicRoots(const FLOAT coeff[4], FLOAT x[3])
+{
+	FLOAT a1 = coeff[2] / coeff[3];
+	FLOAT a2 = coeff[1] / coeff[3];
+	FLOAT a3 = coeff[0] / coeff[3];
+
+	double_t Q = (a1 * a1 - 3 * a2) / 9;
+	double_t R = (2 * a1 * a1 * a1 - 9 * a1 * a2 + 27 * a3) / 54;
+	double_t Qcubed = Q * Q * Q;
+	double_t d = Qcubed - R * R;
+
+	/* Three real roots */
+	if (d >= 0) {
+		double_t theta = acos(R / sqrt(Qcubed));
+		double_t sqrtQ = sqrt(Q);
+		x[0] = -2 * sqrtQ * cos( theta           / 3) - a1 / 3;
+		x[1] = -2 * sqrtQ * cos((theta + 2 * 3.14159265) / 3) - a1 / 3;
+		x[2] = -2 * sqrtQ * cos((theta + 4 * 3.14159265) / 3) - a1 / 3;
+		return (3);
+	}
+
+	/* One real root */
+	else {
+		double_t e = pow(sqrt(-d) + fabs(R), 1. / 3.);
+		if (R > 0)
+			e = -e;
+		x[0] = (e + Q / e) - a1 / 3.;
+		return (1);
+	}
+}